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Finding the Fourth Proportional to 11.44, 15.78 and 8.00

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Solution

The fourth proportional to 11.44, 15.78 and 8.00 is: 11.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.44 : 15.78 = 8.00 : x
  2. Step 2: Convert to fraction form
    11.44/15.78 = 8.00/x
  3. Step 3: Cross multiply
    11.44x = 15.78 × 8.00
  4. Step 4: Simplify right side
    11.44x = 126.14
  5. Step 5: Solve for x
    x = 126.14/11.44
  6. Step 6: Final answer
    x = 11.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.